The Spirit is distinct from the Father and the Son

"As for Romans 8:26, 27 we see that the Spirit helps us by teaching us how to pray. He himself also prays for us, and this indicates the address of one person to another. The Spirit is not  the Father: He speaks to the Father. The point is important because someone, willing to grant that the Spirit is personal, may wish to identify the Spirit with the Father so as to have only one person. This verse, along with others, keeps the two persons distinct." - Gordon H. Clark, The Holy Spirit, Pg. 18